Calculating the Initial Speed of an Arrow Shot Horizontally

AI Thread Summary
To calculate the initial speed of an arrow shot horizontally, the problem involves an arrow hitting a target 16 meters away but landing 56 cm lower than aimed. The key to solving this is recognizing that the time it takes for the arrow to fall 56 cm can be determined using the equations of motion. Once the time of flight is established, the horizontal speed can be calculated using the distance traveled. The discussion emphasizes understanding the relationship between vertical drop and horizontal distance to find the initial speed. Ultimately, solving for the time of fall is crucial for determining the arrow's initial velocity.
catmd13
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Homework Statement



An archer shoots an arrow horizontally at a target 16m away. The arrow is aimed directly at the center of the target, but it hits 56cm lower. What was the initial speed of the arrow?

Homework Equations



im not sure of an equation because it does not have t.

The Attempt at a Solution



I tried V^2=Vo^2+2adeltax
 
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catmd13 said:

Homework Statement



An archer shoots an arrow horizontally at a target 16m away. The arrow is aimed directly at the center of the target, but it hits 56cm lower. What was the initial speed of the arrow?

Homework Equations



im not sure of an equation because it does not have t.

The Attempt at a Solution



I tried V^2=Vo^2+2adeltax

Actually it gives you the time, you just haven't recognized it yet.

Maybe if you figured out how long it takes something to fall 56 cm you'd be good to go?
 

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